A. Pasotti

activity

20092025

most citedGlobally simple Heffter arrays and orthogonal cyclic cycle decompositions

23 citations · 59 across the 28 of their papers we have counts for

collaborators

Showing 2021Show all

3 papers · 1 filter

math.CO2021

On the number of non-isomorphic (simple) $k$ -gonal biembeddings of complete multipartite graphs

Simone Costa, Anita Pasotti

This article aims to provide exponential lower bounds on the number of non-isomorphic $k$ -gonal biembeddings of the complete multipartite graph into orientable surfaces. For this p…

math.CO2021

Non-zero sum Heffter arrays and their applications

Simone Costa, Stefano Della Fiore, Anita Pasotti

In this paper we introduce a new class of partially filled arrays that, as Heffter arrays, are related to difference families, graph decompositions and biembeddings. A non-zero sum…

math.CO2021

Growable Realizations: a Powerful Approach to the Buratti-Horak-Rosa Conjecture

M. A. Ollis, Anita Pasotti, Marco A. Pellegrini +1

Label the vertices of the complete graph $K_{v}$ with the integers ${0, 1, \dots, v - 1}$ and define the length of the edge between $x$ and $y$ to be $min (∣ x - y ∣, v - ∣ x - y ∣)$ .…

On the number of non-isomorphic (simple) k-gonal biembeddings of complete multipartite graphs

Non-zero sum Heffter arrays and their applications

Growable Realizations: a Powerful Approach to the Buratti-Horak-Rosa Conjecture

On the number of non-isomorphic (simple) $k$ -gonal biembeddings of complete multipartite graphs